@article{2a0925fa3a6241dcac596be4cf196e6e,
title = "Multiplicity of Solution for a Quasilinear Equation with Singular Nonlinearity",
abstract = "For an open, bounded domain Ω in RN which is strictly convex with smooth boundary, we show that there exists a Λ > 0 such that for 0 < λ< Λ , the quasilinear singular problem -Δpu=λu-δ+uqinΩu=0on∂Ω;u>0inΩadmits at least two distinct solutions u and v in Wloc1,p(Ω)∩L∞(Ω) provided δ≥ 1 , 2N+2N+2",
keywords = "Quasilinear problem, a priori estimates, singular nonlinearity, topological degree",
author = "Kaushik Bal and Prashanta Garain",
note = "Funding Information: Kaushik Bal is supported by DST-Inspire Faculty Award MA-2013029. Prashanta Garain is supported by NBHM Fellowship no: 2/39(2)/2014/NBHM/R&D-II/8020/June 26, 2014. Funding Information: The first author is supported by DST-Inspire Faculty Award MA-2013029. The second author is supported by NBHM Fellowship No. 2/39(2)/2014/NBHM/R&D-II/8020/June 26, 2014. The authors would also like to thank the anonymous referee for his/her careful reading of the manuscript and providing us with valuable insight about the literature. Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2020",
month = jun,
day = "1",
doi = "10.1007/s00009-020-01515-5",
language = "English",
volume = "17",
journal = "Mediterranean Journal of Mathematics",
issn = "1660-5446",
publisher = "Birkhauser Verlag Basel",
number = "3",
}